86. A projectile of mass 2 kg is fired with a speed of 20 m/s at an angle of 30° with respect to the horizontal. (a) Calculate the initial total energy of the projectile given that the reference point of zero gravitational potential energy at the launch position. (b) Calculate the kinetic energy at the highest vertical position of the projectile. (c) Calculate the gravitational potential energy at the highest vertical position. (d) Calculate the maximum height that the projectile reaches. Compare this result by solving the same problem using your knowledge of projectile motion.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Ch.8 Problem #86
**Problem 86: Projectile Motion Energy Calculations**

A projectile with a mass of 2 kg is fired at a speed of 20 m/s at an angle of 30° with respect to the horizontal. 

(a) **Initial Total Energy Calculation:** Determine the initial total energy of the projectile, considering the reference point of zero gravitational potential energy at the launch position.

(b) **Kinetic Energy at Highest Point:** Calculate the kinetic energy of the projectile when it reaches its highest vertical position.

(c) **Gravitational Potential Energy at Highest Point:** Determine the gravitational potential energy at the highest vertical position of the projectile.

(d) **Maximum Height Calculation:** Compute the maximum height the projectile reaches. Verify this result by solving the same problem using your knowledge of projectile motion.

This problem involves concepts such as kinetic energy, potential energy, and projectile motion, ideal for demonstrating the principles of physics in practical scenarios.
Transcribed Image Text:**Problem 86: Projectile Motion Energy Calculations** A projectile with a mass of 2 kg is fired at a speed of 20 m/s at an angle of 30° with respect to the horizontal. (a) **Initial Total Energy Calculation:** Determine the initial total energy of the projectile, considering the reference point of zero gravitational potential energy at the launch position. (b) **Kinetic Energy at Highest Point:** Calculate the kinetic energy of the projectile when it reaches its highest vertical position. (c) **Gravitational Potential Energy at Highest Point:** Determine the gravitational potential energy at the highest vertical position of the projectile. (d) **Maximum Height Calculation:** Compute the maximum height the projectile reaches. Verify this result by solving the same problem using your knowledge of projectile motion. This problem involves concepts such as kinetic energy, potential energy, and projectile motion, ideal for demonstrating the principles of physics in practical scenarios.
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